Version 7 (modified by benl, 9 years ago) (diff) |
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Laplace
Solves the Laplace equation u_xx + u_yy = 0 in a rectangular domain, by iteratively applying a stencil function.
The first argument is the number of iterations to use. The second is a BMP file containing boundary conditions.
repa-laplace 10000 pls-400x400.bmp pls-400x400-out.bmp
Code
The main algorithm is at http://code.haskell.org/repa/repa-stable/repa-examples/Laplace/src/Solver.hs
The wrapper is at http://code.haskell.org/repa/repa-stable/repa-examples/Laplace/src/Main.hs
Test Data
In the input file, greyscale gives the boundary conditions, blue specifies where to determine the solution.
pls-400x400.bmp | pls-400x400-out.bmp |
full size | full size |
Runtime
Compiled with GHC 6.13.20100309. 400x400 image. 1000 iterations.
Running on a Intel i7 iMac. 2.8Ghz, 4 cores x 2 threads/core. 256k L1, 8MB L2, 8GB main memory.
Times stated include IO.
Threads | Time(s) |
1 | 64.67 |
2 | 37.29 |
3 | 27.45 |
4 | 31.96 |
5 | 28.08 |
6 | 24.39 |
7 | 23.83 |
8 | 24.67 |
Attachments (2)
- pls-400x400-thumb.png (2.6 KB) - added by benl 9 years ago.
- pls-400x400-out-thumb.jpg (6.0 KB) - added by benl 9 years ago.
Download all attachments as: .zip